Strong bulk-edge coupling in the compressible half-filled quantum Hall state

Milica V. Milovanović, Efrat Shimshoni

Research output: Contribution to journalConference articlepeer-review

Abstract

We study bulk and edge correlations in the compressible half-filled state, using a modified version of the plasma analogy. The corresponding plasma has anomalously weak screening properties, and as a consequence we find that the correlations along the edge do not decay algebraically as in the Laughlin (incompressible) case, while the bulk correlations decay in the same way. The results suggest that due to the strong coupling between charged modes on the edge and the neutral fermions in the bulk, reflected by the weak screening in the plasma analogue, the (attractive) correlation hole is not well defined on the edge. Hence, the system there can be modeled as a free Fermi gas of electrons. We finally comment on a possible scenario, in which the Laughlin-like dynamical edge correlations may nevertheless be realized.

Original languageEnglish
Pages (from-to)72-74
Number of pages3
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Volume6
Issue number1
DOIs
StatePublished - Feb 2000
Externally publishedYes
Event13th International Conference on the Electronic Properties of Two-Dimensional Systems (EP2DS-13) - Ottawa, Ont, Can
Duration: 1 Aug 19996 Aug 1999

Bibliographical note

Funding Information:
We acknowledge useful discussions with A. Auerbach, J. Feinberg, V. Goldman J.H. Han, A. MacDonald, R. Rajaraman, S. Sondhi, A. Stern and X.-G. Wen, and especially with N. Read. This work was partly supported by the United States–Israel Binational Science Foundation (BSF), and the Israeli Academy of Sciences (M.V.M.).

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